8D Unit 2 Mid-Unit Assessment

Select all equations that are equivalent to 2(5x+6) = 3 - 5 (4x + 12).

• 10x + 12 = 3 - 5(4x + 12)

• 2(5x+6) = -20x - 57

• 10x+6 = 3 - 5 (4x + 12)

• 5x+6 = -20x - 57

A phone company charges a base fee of $10 per month plus an additional charge per minute. The monthly phone cost C can be represented by which equation below where a is the additional charge per minute, and m is the number of minutes used?

• C = 10+ a + m

• C = 10 + a*m

• C = 10 + a/m

• C = 10 - a*m

Solve the following equation for m

C = 10 + a* m

• m = (C + 10) /a

• m = (C - 10) /a

• m = C - 10a

• m = C/a - 10

Tickets to the zoo costs $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation representing the budget for the trip is

240 = 12x + 8y. Above is a graph of this equation.

Select all the true statements.

• If no adult chaperones were needed, 30 children could go to the zoo.

• If 4 children go to the zoo then 20 adults could go to the zoo.

• If 12 more kids go, that means there would be room for 8 fewer adults.

• If no children went on the trip, 20 adults could go.

A candy shop sells pizzas that are 9 inches (in diameter). A 9-inch cheese pizza costs $10. Each additional inch costs $1.50, and each additional topping costs $0.75.

Write an equation that represents the cost of a pizza. Be sure to specify what the variables represent.

• C = 10 + 1.50i + .75t where C is the cost, i is the inches above 10 , and t is the number of additional toppings.

• C = 10 + 1.50i + .75t where C is the cost, i is the inches above 9 , and t is the number of additional toppings.

• C = 10 - 1.50i - .75t where C is the cost, i is the inches above 9 , and t is the number of additional toppings.

• C = 10 + 2.25(i + t) where C is the cost, i is the inches above 9 , and t is the number of additional toppings.

Answer explanation

Consider this system of equations

Clue 1: y = -2x + 15

Clue 2: 3x + 4y = 40

Solve the system of equations without graphing. Show your reasoning.

• the intersection point is (7, 4)

• the intersection point is (4, 6)

• the intersection point is (4, 7)

• the intersection point is (5,7)

Consider this system of equations:

Clue 1: y = -2x + 5

Clue 2: 3x - 4y =2

Solve the system by graphing. Label each graph and the solution

• x = 2 and y = 3

• x = 3 and y = 1

• x = 4 and y = 1

• x = 2 and y = 1

Solve the following systems of equations using the elimination method.

Clue 1: 4x + 6y = 24

Clue 2: -8x + 6y = 6

• x = 1.5 and y = 3

• x = 2 and y = 3

• x = 1.5 and y = 4

• x = 4 and y = 2